The three young daughters and parents of a prominent fashion- marketing executive were killed in a horrific Christmas-morning blaze that tore through her million-dollar Connecticut home, authorities said.

Madonna Badger, 47, a founding partner of the top-tier branding firm Badger & Winters, and a male friend were the only ones to escape the furious 5 a.m. fire , which gutted the waterfront Victorian home in Stamford.

Her 10-year-old daughter, Lily, and 7-year-old twins, Sarah and Grace, died in the inferno, according to a relative who did not want to be identified.

Badger’s parents, who were visiting from Southbury, Conn., also died, cops said. Public records identify them as Lomer and Pauline Johnson.

“My whole life is in there,” Badger sobbed as emergency responders led her away from the flame-filled home.

Lomer Johnson landed his dream job this holiday season as Saks Fifth Avenue’s famed Santa Claus and worked on Christmas Eve, one day before his tragic death.

“We are heartbroken about this terrible tragedy,” said Saks spokeswoman Julia Bentley.

“We express our deepest condolences to his daughter, Madonna Badger, and her family and friends on this inexplicable loss. Our thoughts and hearts go out to them.”

Badger, a recent Manhattan transplant, “was completely distraught,” said neighbor Fern Loeb. “She wasn’t able to stand — but I don’t think it was a physical thing.

“I just saw flames coming out of the back of the house. I heard someone screaming, ‘Help me! Help me!’ ” Loeb added through tears.

Firefighters knew that there were other people inside the home, on the second floor, but the flames had spread so quickly that they couldn’t get to them.

“They were pushed back by intense flame and heat,” said a distraught Fire Chief Antonio Conte.

Another neighbor, Charles Mangano, said he woke up to see “a ball of flames in the sky.”

“The velocity of the flames was unlike anything I’ve ever seen. It was just all over the house,” said Mangano, 57.

He soon saw Badger and, later, a barefoot man wearing boxers and a T-shirt being taken out of the house.

“He had to be supported on both sides. He looked dazed,” Mangano said.

The mom was later released and transferred to an undisclosed location. She looked devastated as she briefly emerged from the hospital.

A relative of her estranged husband, Matthew Badger, said he is “absolutely distraught.”

He was at home in New York when the blaze broke out, and rushed to Stamford, according to cops.

“They were an amazing family,” the relative said.

Stamford Mayor Michael Pavia called it “a terrible, terrible day.”

‘MY WHOLE LIFE IS IN THERE’: Madonna Badger (top right) lost her 10-year-old and 7-year-old twin daughters, as well as her parents, when fire ravaged this Stamford, Conn., home yesterday. Only she and contractor Michael Borcina (above) got out alive. (AP)

“There probably has not been a worse Christmas Day in the city of Stamford,” he said.

A neighbor said Borcina, the head of Tiberias Construction in Manhattan, had been renovating the 3,349-square-foot $1.75 million, five-bedroom home since Madonna Badger bought it last December,

Fire officials said they don’t yet know the cause of the blaze, but they do not believe the renovations are to blame.

It might take investigators days before they can even begin searching for clues — the damage to the home was so severe, it’s unsafe for fire marshals to go in.

Madonna Badger’s former East Village super, Trifu Penca, said the exec and her husband separated three years ago.

He fondly remembered their adorable daughters.

“The kids are very cute, very playful,” he said.

Loeb, the Stamford neighbor, said it’s shocking how the family was wiped out.

“It’s so sad to look at that house and not see them,” she said. “It’s completely horrible.”

She said the family had lived there less than a year but was already well-liked on the block.

“They were amazing people, and it’s the worst tragedy that could ever happen to anybody,” she said.

“Everybody who knew them liked them. They were great. The kids were wonderful. We’re going to miss them so much.”

Badger became a fashion-marketing rock star in the early 1990s with her spicy Marky Mark underwear ads and seductive Kate Moss Obsession ads for Calvin Klein.

She was celebrated in Crain’s Business’ 40-under-40 when she was the 30-year-old head of her own ad agency, Badgerway Advertising

She launched Badger & Winters Group with Vogue and Talk publisher Tim Winters in 1994, working with such high-profile clients as Vera Wang and Chanel.

While she’d been estranged from her husband for years, court records show she had just filed for an uncontested divorce from him in October.